Segment gh is shown on the graph. what are the coordinates of the point that divides the segment into a 3: 2 ratio? (–7.5, 0.5) (0.5, –7.5) (–1.2, –2.2) (–2.2, –1.2)

D) (–2.2, –1.2)

Explanation: to divide the segment into a 3:2 ratio, we need to divide the segment into five identical parts, and find the point that divides the segment into 3/5 and 2/5. To do this we have to calculate the distance between the two points of the segment, in x and y, we can do this by just subtracting the two "y" coordinates and the two "x" coordinates:

Δy=║-4-3║=7

Δx=║-1-(-4)║=3

Then we divide those differences by 5.

7/5=1.4

3/5=0.6

and now, we multiply those results by 3 and subtract them or add them from the coordinates of the point G (subtract them from the coordinate y and add it to the coordinate x, because we are moving down and right).

Px=-4+3*0.6=-2.2

Py=3-3*1.4=-1.2

so the coordinates of the point we are looking for (which I called "P") are:

P(-2.2, -1.2).

D, (–2.2, –1.2)

Explanation:

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. a function is a relation in which each input has only one output. in the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.